A Study of Coupled Systems of ψ-Hilfer Type Sequential Fractional Differential Equations with Integro-Multipoint Boundary Conditions

被引：6

作者：

Samadi, Ayub ^{[1
]}

Nuchpong, Cholticha ^{[2
]}

Ntouyas, Sotiris K. ^{[3
,4
]}

Tariboon, Jessada ^{[5
]}

机构：

[1] Islamic Azad Univ, Miyaneh Branch, Dept Math, Miyaneh 1477893855, Iran

[2] King Mongkuts Univ Technol North Bangkok, Coll Ind Technol, Thai German Preengn Sch, Bangkok 10800, Thailand

[3] Univ Ioannina, Dept Math, Ioannina 45110, Greece

[4] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[5] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Intelligent & Nonlinear Dynam Innovat, Bangkok 10800, Thailand

来源：

FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 04期

关键词：

psi-Hilfer fractional derivative; Riemann-Liouville fractional derivative; Caputo fractional derivative; system of fractional differential equations;

D O I：

10.3390/fractalfract5040162

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the existence and uniqueness of solutions for a coupled system of psi-Hilfer type sequential fractional differential equations supplemented with nonlocal integro-multi-point boundary conditions is investigated. The presented results are obtained via the classical Banach and Krasnosel'skii's fixed point theorems and the Leray-Schauder alternative. Examples are included to illustrate the effectiveness of the obtained results.

引用

页数：20

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